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Finding the Third Proportional to 415,618 and 908,996

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Solution

The third proportional to 415,618 and 908,996 is: 1,988,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,618 : 908,996 = 908,996 : x
  2. Step 2: Convert to fraction form
    415,618/908,996 = 908,996/x
  3. Step 3: Cross multiply
    415,618x = 908,996 × 908,996
  4. Step 4: Simplify right side
    415,618x = 826,273,728,016
  5. Step 5: Solve for x
    x = 826,273,728,016/415,618
  6. Step 6: Final answer
    x = 1,988,060.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.